Open Access Research Article

Simultaneous versus Nonsimultaneous Blowup for a System of Heat Equations Coupled Boundary Flux

Mingshu Fan1* and Lili Du23

Author Affiliations

1 Department of Mathematics, Jincheng College of Sichuan University, Chengdu 611731, China

2 Department of Mathematics, Sun Yat-Sen University, Guangzhou 510275, China

3 School of Mathematical Sciences, South China University of Technology, Guangzhou 510640, China

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Boundary Value Problems 2007, 2007:075258  doi:10.1155/2007/75258

Published: 20 May 2007

Abstract

This paper deals with a semilinear parabolic system in a bounded interval, completely coupled at the boundary with exponential type. We characterize completely the range of parameters for which nonsimultaneous and simultaneous blowup occur.